Prime p₀= 335195159539742267 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 64 2 10 2 76 2 22 2 (?)
a_n: 0 2 54 56 120 122 132 134 210 212 234 236
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 236
Found by: Cruncher Pete
db: batch=70, k=12, 52 64 10 76 22

SPT(14)	335195079056144269	0 30 40 42 72 78 88 114 124 130 160 162 172 202	-80483597998
SPT(14)	335195084551928327	0 24 132 140 212 224 254 312 342 354 426 434 542 566	-74987813940
SPT(14)	335195125062177763	0 4 60 96 120 126 154 180 208 214 238 274 330 334	-34477564504
TPT(12)	335195126922657761	0 2 6 8 60 62 270 272 300 302 390 392	-32617084506
SPT(14)	335195127263510947	0 10 34 46 66 76 124 222 270 280 300 312 336 346	-32276231320
SPT(16)	335195130208297483	0 18 24 34 90 120 130 148 150 168 178 208 264 274 280 298	-29331444784
STPT(10)	335195168916801251	0 2 36 38 78 80 120 122 156 158	9377058984
STPT(10)	335195175157145657	0 2 12 14 72 74 132 134 144 146	15617403390
SPT(14)	335195185800924731	0 18 32 38 42 78 80 168 170 206 210 216 230 248	26261182464
SPT(16)	335195188096001033	0 66 110 164 168 236 240 246 308 314 318 386 390 444 488 554	28556258766
SPT(14)	335195198746337183	0 56 80 90 108 146 156 158 168 206 224 234 258 314	39206594916